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Finding the Fourth Proportional to 4,576.17, 6,864.71 and 1,653.79

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Solution

The fourth proportional to 4,576.17, 6,864.71 and 1,653.79 is: 2,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.17 : 6,864.71 = 1,653.79 : x
  2. Step 2: Convert to fraction form
    4,576.17/6,864.71 = 1,653.79/x
  3. Step 3: Cross multiply
    4,576.17x = 6,864.71 × 1,653.79
  4. Step 4: Simplify right side
    4,576.17x = 11,352,788.75
  5. Step 5: Solve for x
    x = 11,352,788.75/4,576.17
  6. Step 6: Final answer
    x = 2,480.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.